You might also want to look at the condition of the place. If it's well-kept and has no signs of rotting wood, mold, etc, it's likely that you've found a place that the landlord actually cares about. That's a biggie. A local landlord who gives a damn about the building is likely to respond more quickly if there's ever a problem that requires his/her attention. Some things I would ask...
Who pays what as far as the utilities?
Are there any restrictions on what you can do there? Some places restrict use of grills, smoking, etc.
If you or your mom likes to garden, is there a spot that would be okay to plant some things?
If it's a multiple family dwelling or complex, what are the other tenants like? Obnoxious or noisy neighbors can be a bummer.
Do you have parking? If so, where?
What can/can't you change in the place if desired?
Good luck!